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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 44, 2003 - Issue 6
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Original Articles

A COMBINED ANALYTIC AND NUMERICAL METHOD FOR PREDICTING THE SOLID-LAYER GROWTH FROM MELT CRYSTALLIZATION

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Pages 577-590 | Published online: 02 Feb 2011

References

  • Chianese , A. and Sautilli , N. 1998 . Modelling of the Solid Layer Growth from Melt Crystallization the Integral Formulation Approach . Chem. Eng. Sci. , 53 : 107 – 111 .
  • Bennon , W. and Incropera , F. 1987 . A Continuum Model for Momentum, Heat and Species Transport in Binary Solid-Liquid Phase Change Systems I. Model Formulation . Int. J. Heat Mass Transfer , 30 : 2161 – 2170 .
  • Crowley , A. B. and Ockendon , J. R. 1979 . On the Numerical Solution of an Alloy Solidification Problem . Int. J. Heat Mass Transfer , 22 : 941 – 946 .
  • Feltham , D. L. and Garside , J. 2001 . Analytical and Numerical Solutions Describing the Inward Solidification of a Binary Melt . Chem. Eng. Sci. , 56 : 2357 – 2370 .
  • Gilbert , S. W. 1991 . Melt Crystallization: Process Analysis and Optimization . AIChE J. , 37 : 1205 – 1215 .
  • Guardani , R. , Neiro , S. M. S. , Bulau , H. and Ulrich , J. 2001 . Experimental Comparison and Simulation of Static and Dynamic Solid Layer Melt Crystallization . Chem. Eng. Sci. , 56 : 2371 – 2379 .
  • Gupta , S. C. 1987 . Analytical and Numerical Solutions of Radially Symmetric inward Solidification Problems in Spherical Geometry . Int. J. Heat Mass Transfer , 30 : 2611 – 2616 .
  • Foots , G. 1962 . On the Application of Integral-Methods to the Solution of Problems Involving the Solidification of Liquids Initially at Fusion Temperature . Int. J. Heat Mass Transfer , 5 : 525 – 531 .
  • Prescott , P. , Incropera , F. and Bennon , W. 1991 . Modeling of Dendritic Solidification Systems: Reassessment of the Continuum Momentum Equation . Int. J. Heat Mass Transfer , 34 : 2351 – 2359 .
  • Riley , D. S. , Smith , F. T. and Poots , G. 1974 . The Inward Solidification of Spheres and Circular Cylinders . Int. J. Heat Mass Transfer , 17 : 1507 – 1516 .
  • Scholz , R. , Wangnik , K. and Ulrich , J. 1993 . On the Distribution and Movement of Impurities in Crystalline Layers in Melt Crystallization Processes . J. Phys. D , 26 : B156 – B161 .
  • Shih , Y. P. and Tsay , S. Y. 1971 . Analytical Solutions for Freezing a Saturated Liquid Insider or Outside Cylinders . Chem. Eng. Sci. , 26 : 809 – 816 .
  • Slaughter , D. W. and Doherty , M. F. 1995 . Calculation of Solid-Liquid Equilibrium and Crystallization Paths for Melt Crystallization Processes . Chem. Eng. Sci. , 50 : 1679 – 1694 .
  • Tao , L. C. 1967 . Generalized Numerical Solution of Freezing a Saturated Liquid in Cylinders and Spheres . AIChE J. , 13 : 481 – 501 .
  • Beckermann , C. and Viskanta , R. 1988 . Double Diffusive Convection during Dendritic Solidification of a Binary Mixture . PhysicoChem Hydrodyn. , 10 : 195 – 213 .
  • Furzeland , R. M. 1980 . A Comparative Study of Numerical Methods for Moving Boundary Problems . J. Inst. Math. Appl. , 26 : 411 – 429 .
  • Ganesan , S. and Poirier , D. 1990 . Conservation of Mass and Momentum for the Flow of Finterdendritic Liquid during Solidification . Metall. Trans. , B21B : 173 – 181 .
  • Guardani , R. and Belline , A. 1997 . Application of Mathematical Modeling in a Two-Component Layer Crystallization Process . Chem. Eng. Technol. , 20 : 495 – 501 .
  • Henning , S. and Ulrich , J. 1997 . Description of the Migration of Liquid Inclusions in Growing Crystalline Layers . Trans. IChemE, Part A , 75 : 233 – 236 .
  • Huppert , H. E. 1990 . The Fluid Mechanics of Solidification . J. Fluid Mech. , 212 : 209 – 240 .
  • Idelsohn , S. , Nigro , N. and Storti , M. 1998 . Segregation in Continuous Casting Processes with Coupled Solidification and Fluid Flow Modeling . Int. J. Forming Process , 1 : 135 – 162 .
  • Langer , J. S. 1980 . Instabilities and Pattern Formation in Crystal Growth . Rev. Modern Physs. , 52 : 1 – 28 .
  • Mullins , W. W. and Sekerka , R. F. 1964 . Stability of a Planar Interface during Solidification of a Dilute Binary Alloy . J. Appl. Phys. , 35 : 444 – 451 .
  • Nigrop , N. , Uespe , A. and Fachinotti , V. 2000 . Phasewise Numerical Integration of Finite Element Method Applied to Solidification Processes . Int. J. Heat Mass Transfer , 5 : 1053 – 1066 .
  • Pedroso , R. I. and Domoto , G. A. 1973 . Inward Spherical Solidification Solution by the Method of Strained Coordinates . Int. J. Heal Mass Transfer , 16 : 1037 – 1043 .
  • Salcudean , M. and Abdullah , Z. 1988 . On the Numerical Modeling of Heat Transfer during Solidification Processes . Int. J. Heat Mass Transfer , 25 : 445 – 473 .
  • Soward , A. M. 1980 . A Unified Approach to Stefan's Problem for Spheres and Cylinders . Proc. Roy. Soc. London Ser. A , 373 : 131 – 147 .
  • Stewartson , K. and Waechter , R. T. 1976 . On Stefan's Problem for Spheres . Proc. Roy. Soc. London Ser. A , 348 : 415 – 426 .
  • Voller , V. and Prakash , C. 1987 . A Fixed Grid Numerical Modeling Methodology for Convection-Diffusion Mushy Region Phase Change Problems . Int. J. Heat Mass Transfer , 30 : 1709 – 1719 .
  • Voller , V. , Brent , A. and Prakash , C. 1990 . The Modeling of Heat, Mass and Solute Transport in Solidification Systems . Appl. Math. Modeling , 14 : 320 – 326 .
  • Wangnick , K. and Ulrich , J. 1994 . A Model for the Calculation of the Purification Efficiency of a Solid Layer Melt Crystallization Process . Crystal Res. Technol. , 29 : 349 – 356 .
  • Haase , R. 1956 . Thermodynamik der Mischphasen , New York : Springer-Verlag .
  • Walas , S. M. 1985 . Phase Equilibria in Chemical Engineering , Oxford, UK : Butterworth-Heinemann .
  • Dowden , J. M. 2001 . The Mathematics of Thermal Modeling, chaps. 4 and 5 , New York : Chapman & Hall/CRC .
  • Linstrom , P. J. and Mallard , W. G. NIST Chemistry WebBook. NIST Standard Reference Database Number 69, July 2001 (http://webbook.nist.gov)
  • Turton , R. , Bailie , R. C. , Whiting , W. B. and Shaeiwitz , J. A. 1998 . Analysis. Synthesis and Design of Chemical Processes , Upper Saddle River, NJ : Prentice Hall PTR .

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